B. M. Herbst

2.3k total citations
54 papers, 1.7k citations indexed

About

B. M. Herbst is a scholar working on Statistical and Nonlinear Physics, Numerical Analysis and Computer Vision and Pattern Recognition. According to data from OpenAlex, B. M. Herbst has authored 54 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Statistical and Nonlinear Physics, 20 papers in Numerical Analysis and 17 papers in Computer Vision and Pattern Recognition. Recurrent topics in B. M. Herbst's work include Nonlinear Waves and Solitons (21 papers), Nonlinear Photonic Systems (18 papers) and Numerical methods for differential equations (17 papers). B. M. Herbst is often cited by papers focused on Nonlinear Waves and Solitons (21 papers), Nonlinear Photonic Systems (18 papers) and Numerical methods for differential equations (17 papers). B. M. Herbst collaborates with scholars based in South Africa, United States and United Kingdom. B. M. Herbst's co-authors include Mark J. Ablowitz, J. A. C. Weideman, C. M. Schober, Johan A. du Preez, R. G. Halburd, A. R. Mitchell, J. Ll. Morris, Chris Aldrich, Lidia Auret and John T. McCoy and has published in prestigious journals such as Physical Review Letters, IEEE Transactions on Pattern Analysis and Machine Intelligence and Journal of Computational Physics.

In The Last Decade

B. M. Herbst

51 papers receiving 1.5k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
B. M. Herbst South Africa 21 825 455 317 222 196 54 1.7k
Luca Dieci United States 25 816 1.0× 607 1.3× 96 0.3× 45 0.2× 118 0.6× 95 1.9k
Thiab R. Taha United States 18 1.0k 1.2× 539 1.2× 429 1.4× 83 0.4× 315 1.6× 55 1.7k
J. C. Mason United Kingdom 12 205 0.2× 288 0.6× 129 0.4× 110 0.5× 107 0.5× 42 1.3k
Roberto Barrio Spain 24 1.1k 1.4× 265 0.6× 94 0.3× 56 0.3× 84 0.4× 122 1.9k
Mehrdad Lakestani Iran 31 1.4k 1.8× 1.1k 2.4× 236 0.7× 174 0.8× 64 0.3× 104 2.7k
Hans Munthe–Kaas Norway 15 454 0.6× 937 2.1× 61 0.2× 47 0.2× 177 0.9× 43 1.5k
Zhijun Qiao China 29 1.8k 2.2× 146 0.3× 203 0.6× 104 0.5× 132 0.7× 182 3.2k
J. M. Varah Canada 20 156 0.2× 533 1.2× 150 0.5× 105 0.5× 168 0.9× 46 1.6k
Michela Redivo‐Zaglia Italy 17 186 0.2× 401 0.9× 177 0.6× 61 0.3× 79 0.4× 58 1.1k
Michele Pavon Italy 22 507 0.6× 62 0.1× 159 0.5× 98 0.4× 62 0.3× 86 1.5k

Countries citing papers authored by B. M. Herbst

Since Specialization
Citations

This map shows the geographic impact of B. M. Herbst's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by B. M. Herbst with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites B. M. Herbst more than expected).

Fields of papers citing papers by B. M. Herbst

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by B. M. Herbst. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by B. M. Herbst. The network helps show where B. M. Herbst may publish in the future.

Co-authorship network of co-authors of B. M. Herbst

This figure shows the co-authorship network connecting the top 25 collaborators of B. M. Herbst. A scholar is included among the top collaborators of B. M. Herbst based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with B. M. Herbst. B. M. Herbst is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Pyatkov, Yu. V., et al.. (2017). Oblique projectors in image morphology. Journal of Physics Conference Series. 798. 12125–12125. 2 indexed citations
2.
Herbst, B. M., et al.. (2006). Off-line signature verification: A comparison between human and machine performance. 17 indexed citations
3.
Preez, Johan A. du, et al.. (2005). Estimating the pen trajectories of static signatures using hidden Markov models. IEEE Transactions on Pattern Analysis and Machine Intelligence. 27(11). 1733–1746. 31 indexed citations
4.
Herbst, B. M. & David Richards. (2002). On an automated signature verification system. 2. 600–604. 5 indexed citations
5.
Herbst, B. M., et al.. (2002). The use of eigenpictures for optical character recognition. 2. 1124–1126. 5 indexed citations
6.
Ablowitz, Mark J., R. G. Halburd, & B. M. Herbst. (2000). On the extension of the Painlevé property to difference equations. Nonlinearity. 13(3). 889–905. 164 indexed citations
7.
Weideman, J. A. C., et al.. (1999). A note on an integrable discretization of the nonlinear Schrödinger equation. Inverse Problems. 15(3). 807–810. 3 indexed citations
8.
Ablowitz, Mark J., B. M. Herbst, & C. M. Schober. (1995). Numerical simulation of quasi-periodic solutions of the sine-Gordon equation. Physica D Nonlinear Phenomena. 87(1-4). 37–47. 27 indexed citations
9.
Herbst, B. M., F. Váradi, & Mark J. Ablowitz. (1994). Symplectic methods for the nonlinear Schrödinger equation. Mathematics and Computers in Simulation. 37(4-5). 353–369. 30 indexed citations
10.
Herbst, B. M. & Mark J. Ablowitz. (1993). Numerical Chaos, Symplectic Integrators, and Exponentially Small Splitting Distances. Journal of Computational Physics. 105(1). 122–132. 25 indexed citations
11.
Cloot, A., B. M. Herbst, & J. A. C. Weideman. (1990). A numerical study of the nonlinear Schrödinger equation involving quintic terms. Journal of Computational Physics. 86(1). 127–146. 19 indexed citations
12.
Herbst, B. M. & Mark J. Ablowitz. (1989). Numerically induced chaos in the nonlinear Schrödinger equation. Physical Review Letters. 62(18). 2065–2068. 120 indexed citations
13.
Cloot, A. & B. M. Herbst. (1988). Analytical instability of the Klein-Gordon equation. Journal of Computational and Applied Mathematics. 21(1). 17–26. 3 indexed citations
14.
Cloot, A. & B. M. Herbst. (1988). Grid resonances, focusing and Benjamin-Feir instabilities in leapfrog time discretizations. Journal of Computational Physics. 75(1). 31–53. 5 indexed citations
15.
Herbst, B. M. & W.‐H. Steeb. (1988). Parametrically Driven One-Dimensional Sine-Gordon Equation and Chaos. Zeitschrift für Naturforschung A. 43(8-9). 727–733. 3 indexed citations
16.
Weideman, J. A. C. & B. M. Herbst. (1987). Recurrence in Semidiscrete Approximations of the Nonlinear Schrödinger Equation. SIAM Journal on Scientific and Statistical Computing. 8(6). 988–1004. 9 indexed citations
17.
Weideman, J. A. C. & B. M. Herbst. (1986). Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation. SIAM Journal on Numerical Analysis. 23(3). 485–507. 280 indexed citations
18.
Herbst, B. M., et al.. (1983). Equidistributing principles in moving finite element methods. Journal of Computational and Applied Mathematics. 9(4). 377–389. 27 indexed citations
19.
Herbst, B. M., et al.. (1982). A moving Petrov‐Galerkin method for transport equations. International Journal for Numerical Methods in Engineering. 18(9). 1321–1336. 51 indexed citations
20.
Herbst, B. M.. (1981). Collocation methods and the solution of conduction–convection problems. International Journal for Numerical Methods in Engineering. 17(7). 1093–1101. 5 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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